Publications of Chen-Bo Zhu

Articles in journals 

  1. A generic H-invariant in a multiplicity-free G-action,
    Proc. Amer. Math. Soc.     115, No. 3 (1992), 629-635.
  2. Invariant distributions of classical groups,
    Duke Math. Jour.     65, No. 1 (1992), 85-119.
  3. Functional equations satisfied by intertwining operators of reductive groups,
    Trans. Amer. Math. Soc.     336, No. 2 (1993), 881-899.
  4. Examples of invariant theory associated with U(2,2), Sp(4, R), O^*(4),   
    Comm. Algebra     21, No. 5 (1993),1721-1729.
  5. Quivers and invariant theory of Levi-subgroups, with H. Aslaksen and E. C. Tan,  
    Jour. Functional Analysis     120, No. 1 (1994), 163-187.
  6. Invariant differential operators on symplectic Grassmann manifolds, with G. Schwarz,
    Manuscripta Mathematica     82, (1994), 191-206.
  7. Generators and relations of invariants of 2 X 2 matrices, with H. Aslaksen and E. C. Tan, 
    Comm. Algebra     22, No. 5 (1994), 1821-1832.
  8. On certain rings of highest weight vectors, with H. Aslaksen and E. C. Tan,   
    Jour. Algebra     174, (1995), 159-186.
  9. Invariant theory of special orthogonal groups, with H. Aslaksen and E. C. Tan,   
    Pacific Jour. Math.     168, No. 2 (1995), 207-215.
  10. Free resolutions of generic symmetric matrices, with H. Aslaksen and E. C. Tan,    
    Linear Algebra and its Applications     230, (1995), 21-34.
  11. Poincare series of holomorphic representations, with E. C. Tan,
    Indagationes Mathemacae N.S.     7, No. 1 (1996), 111-126.
  12. On the decay of matrix coefficients for exceptional groups, with J.-S. Li,
    Mathematische Annalen     305, (1996), 249-270.
  13. Degenerate principal series and local theta correspondence II, with S. T. Lee,
    Israel Jour. Math.     100, (1997), 29-59.
  14. On certain small representations of indefinite orthogonal groups, with J.-S. Huang, 
    Representation Theory     1, (1997), 190-206.
  15. A result on Gelfand-Kirillov dimension of representations of classical groups,
    Proc. Amer. Math. Soc.     126, No. 10 (1998), 3125-3130.
  16. Degenerate principal series and local theta correspondence, with S. T. Lee,   
    Trans. Amer. Math. Soc.     350, No. 12 (1998), 5017-5046.
  17. On certain distinguished unitary representations supported on null cones, with E. C. Tan,
    Amer. Jour. Math.     120, No. 5 (1998), 1059-1076.
  18. Weyl's construction and tensor power decomposition for G_2, with J.-S. Huang,  
    Proc. Amer. Math. Soc.     127, No. 3 (1999), 925-934.
  19. Multiresolution on compact groups, with A. Lim,  
    Linear Algebra and its Applications     293, (1999), 15-38.
  20. On the (g,K)-cohomology of certain theta lifts, with S. T. Lee,   
    Pacific Jour. Math.     199, No. 1 (2001), 93-110.
  21. Theta lifting of holomorphic discrete series, the case of U(n,n) X  U(p,q), with K. Nishiyama,  
    Trans. Amer. Math. Soc.     353, No. 8 (2001), 3327-3345.
  22. Tensor product of degenerate principal series and local theta correspondence, with J.-S. Li and E. C. Tan, 
    Jour. Functional Analysis     186, (2001), 381-431. tensor-product.pdf
  23. Eigendistributions for orthogonal groups and representations of symplectic groups, with R. Howe, 
    J. Reine. Angew. Math.      545, (2002), 121-166. eigendistributions.pdf
  24. The explicit duality correspondence of $(Sp(p,q), O^*(2n))$, with J.-S. Li, A. Paul and E. C. Tan,
    Jour. Functional Analysis     200, No. 1 (2003), 71-100. dualityoverH.pdf
  25. Representations with scalar K-types and applications,
    Israel Jour. Math.     135, (2003), 111-124.  scalarKtypes.pdf
  26. Theta lifting of unitary lowest weight modules and their associated cycles, with K. Nishiyama, 
    Duke Math. Jour.     125, No. 3, (2004), 415-465. liftLWM.pdf
  27. Transfer of unitary representations, with N. Wallach,    
    Asian Jour. Math.     8, No. 4, (2004), 861-880 (special issue in memory of A. Borel). transfer. PDF
  28. Theta lifting of nilpotent orbits for symmetric pairs, with K. Nishiyama and H. Ochiai,
    Trans. Amer. Math. Soc.     358, No. 6 (2006), 2713-2734.  lift-orbits. PDF
  29. Two problems on the support of Fourier transform of some eigendistributions,  
    Bulletin Kerala Math. Asso.     (a special issue on Harmonic Analysis and Quantum Groups), (2006), 1-14.  support-BKMA. PDF
  30. Degenerate principal series and local theta correspondence III: the case of complex groups, with S. T. Lee, Jour. Algebra 319, (2008), 336-359. theta3. PDF
  31. Uniqueness of Ginzburg-Rallis models: the Archimedian case, with D. Jiang and B. Sun, preprint, 2008. GR models. PDF
  32. Matrix coefficients for distributional vectors and an application, with B. Sun, preprint, 2008. matrix coefficients. PDF

Books edited

  1. Representations of Real and p-adic Groups, Vol 2, Lecture Notes Series, Institute for Mathematical Sciences, NUS, edited by Eng-Chye Tan and Chen-Bo Zhu, World Scientific Publishing, 2004.
  2. Harmonic Analysis, Group Representations, Automorphic Forms and Invariant Theory: In Honor of Roger E. Howe, Vol 12, Lecture Notes Series, Institute for Mathematical Sciences, NUS, edited by Jian-Shu Li, Eng-Chye Tan, Nolan Wallach and Chen-Bo Zhu, World Scientific Publishing, 2007.
     

 

 

 

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Zhu Chengbo <matzhucb@nus.edu.sg>


Last Modified: July 2008